What is inverse oflaplace (24)/(s^4) ?

The answer to inverse oflaplace (24)/(s^4) is 4t^3

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inverse oflaplace (24)/(s^4)

inverse laplace

\frac{24}{s ^{4}}

4 t^{3}

Solution steps

L^{- 1} {\frac{24}{s ^{4}}}

= L^{- 1} {4 \cdot \frac{6}{s ^{4}}}

Use the constant multiplication property of Inverse Laplace Transform:

For function

f (t)

and constant

a : L^{- 1} {a \cdot f (t)} = a \cdot L^{- 1} {f (t)}

= 4 L^{- 1} {\frac{6}{s ^{4}}}

Use Inverse Laplace Transform table:

L^{- 1} {\frac{( n ) !}{s ^{n + 1}}} = t^{n}

L^{- 1} {\frac{6}{s ^{4}}} = t^{3}

= 4 t^{3}

\frac{\partial}{\partial x} (3 - x^{2} + x y - 3 y^{2})

\frac{\partial}{\partial y} (2 x^{2} - 4 y^{3})

y = \frac{9}{x ^{2} + 2}, (1, 3)

\frac{d}{d y} (ln (\frac{( 5 y + 1 ) ^{2}}{y ^{2} + 1}))

ln (4 x^{3} + x)

What is inverse oflaplace (24)/(s^4) ?
The answer to inverse oflaplace (24)/(s^4) is 4t^3